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Finding the Fourth Proportional to 674.09, 930.20 and 408.59

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Solution

The fourth proportional to 674.09, 930.20 and 408.59 is: 563.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.09 : 930.20 = 408.59 : x
  2. Step 2: Convert to fraction form
    674.09/930.20 = 408.59/x
  3. Step 3: Cross multiply
    674.09x = 930.20 × 408.59
  4. Step 4: Simplify right side
    674.09x = 380,063.72
  5. Step 5: Solve for x
    x = 380,063.72/674.09
  6. Step 6: Final answer
    x = 563.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.